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Yeah, 13 episodes sounds about right, actually. I mean, if you don't count the prologue (which can easily cover a single episode), the game has 6 chapters altogether. Those can easily be split up into about 2-3 episodes each without the need to stretch things out with pointless filler. Looks like a smart decision to me.

Ok this is way too early for things like this showing up, plus the fact there have been no other confirmed sources this is most likely just a placeholder which happens a lot with most anime until confirmed at a later date because they haven’t been given an episode number yet so they just list it as 13 episodes its the same with DS2 anime which is also on the list
There’s also the chance that it will be split cour between two seasons such as like Fate/Zero I honestly wouldn’t worry about it too much at the moment.

Thing Is though showgate isn't a place like ANN. Their a....I'm not sure what they are but they own the international rights to dangan ronpa and are part of the production commite for it and episode counts are always decided at the planning process before an anime is announced (half the time companies just choose not to announce them). So it's highly unlikely it's just a place holder. Don't think it's split cour either.